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" A number is divisible by 3 if the sum of its digits is divisible by 3• A number is divisible by 9 if the sum of its digits is divisible by 9. "
New Franklin Arithmetic - Page 378
by Edwin Pliny Seaver, George Augustus Walton - 1895
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The science and art of arithmetic, by A. Sonnenschein and H.A. Nesbitt.d Pt.1

Adolf Sonnenschein - 1873 - 194 pages
...derived from the Latin diyitus, a finger, the fingers being the natural counters. Learn by heart : A number is divisible by 3 if the sum of its digits is divisible by 3. NOTB. Every number divisible by 9 is divisible by 3 ; but not every number divisible by 3 is divisible...
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An elementary course of arithmetic. (With Key).

Richard Rickard - 1873 - 364 pages
...are called their prime factors. 34. Test of divisibility : — Every even number is divisible by 2. A number is divisible by 3 if the sum of its digits be so divisible. A number is divisible by 4 if the number conv A number is divisible by 8 if the number...
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A Complete Arithmetic, Oral and Written

Malcolm MacVicar - Arithmetic - 1876 - 412 pages
...sum of the digits is divisible by 9, the number 486 is divisible by 9 (Prop. II). PROP. XI. — Any number is divisible by 3, if the sum of its digits is divisible by 3. This proposition is shown in the same manner as Prop. X ; as 3 divides 10, 100, 1000, etc., with a...
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Elementary Arithmetic: With Brief Notices of Its History, Volumes 1-12

Robert Potts - Arithmetic - 1876 - 392 pages
...not divisible by 9 wheu the sum of the digits ia not so divisiblo. As 9 is 3 times 3, it follows that a number is divisible by 3 if the sum of its digits be divisible Ly 3.1 Next, let the number 63547 be taken, and let it be divided into parts which are...
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Elementary Arithmetic: With Brief Notices of Its History, Volumes 1-12

Robert Potts - Arithmetic - 1876 - 418 pages
...not divisible by 9 whoa the sum of the digits is not so divisible. As 9 is 3 times 3, it follows that a number is divisible by 3 if the sum of its digits be divisible Ly 3.1 Next, let the number 63547 be taken, and let it be divided intoparts which are...
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The Science of Arithmetic: For High Schools, Normal Schools, Preparatory ...

Edward Olney - Arithmetic - 1876 - 316 pages
...with an odd digit. 146. 1. It is possible that a number ending in any figure is divisible by 3. 2. Any number is divisible by 3, if the sum of its digits is so divisible, and not otherwise. DEM. — 1. There is no digit that may not be produced in the right-hand...
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The Franklin Written Arithmetic with Examples for Oral Practice

Edwin Pliny Seaver - Arithmetic - 1878 - 364 pages
...separated into two parts, one of which is divisible by 9, and the other equals the sum of its digits. Any number can be so separated. Hence a number is divisible...divisible by 3 if the sum of its digits is divisible by 3. 14. The Greatest Common Factor of Numbers (Art 175). The method of finding the gcf of numbers, as given...
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The Franklin Written Arithmetic: With Examples for Oral Practice

Edwin Pliny Seaver - Arithmetic - 1878 - 360 pages
...separated into two parts, one of which is divisible by 9, and the other equals the sum of its digits. Any number can be so separated. Hence a number is divisible...number is divisible by 3 if the sum of its digits is divisibk by S. 14. The Greatest Common Factor of Numbers (Art. 175). The method of finding the gcf...
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The Franklin Written Arithmetic: With Examples for Oral Practice

Edwin Pliny Seaver, George Augustus Walton - Arithmetic - 1878 - 360 pages
...separated into two parts, one of which is divisible by 9, and the other equals the sum of its digits. Any number can be so separated. Hence a number is divisible...sum of its digits. Hence a number is divisible by S if the sum of its digits is divisible by 3. 14. The Greatest Common Factor of Numbers (Art 175)....
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The Franklin Written Arithmetic: With Examples for Oral Practice

Edwin Pliny Seaver, George Augustus Walton - Arithmetic - 1878 - 380 pages
...number is divisible by 9 if the sum of its digits is divisible by 9. 3. Divisibility of numbers by 8. Any number that is divisible by 9 is divisible by...sum of its digits. Hence a number is divisible by 8 if the sum of its digits is divisibk by 3. 14. The Greatest Common Factor of Numbers (Art . 175)....
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